Damping Value Conversion Calculator

Here is a Matlab GUI script which converts between various damping metrics:  damping.zip The supported metric include: quality factor Q fraction of critical damping [zeta] loss factor [eta] 3 dB Bandwidth [delta omega] 3 dB Bandwidth [delta f] damping frequency [fd] decay constant [sigma] time… Read more

Spring-Mass System Natural Frequency

Here is a Matlab GUI script for calculating the natural frequency of a spring-mass system:  sdof_fn.zip It can also be used to select total isolator stiffness for a given mass and intended natural frequency. It is version 1.1, so please let me know if there… Read more

Pink Noise Generator

Two random signals of particular interest are white noise and pink noise. White noise is a random signal which has a constant power spectrum for a constant frequency bandwidth. It is thus analogous to white light, which is composed of a continuous spectrum of colours.… Read more

Tire Imbalance Frequency

Image courtesy of Discount Tire Static Imbalance (left image) Occurs when there is a heavy or light spot in the tire that prevents the tire from rolling evenly and causing the tire and wheel to undergo an up-and-down motion. Dynamic Imbalance (right image) Occurs when… Read more

Cylindrical Shell Enclosed by Shear Diaphragms

The following Matlab script calculates the natural frequencies of a cylindrical shell which is enclosed at each end by a “shear diaphragm.” SD_SD_cylinder.m * * * Reference: Leissa, Vibration of Shells, NASA SP-288 See also: Vibrationdata Rings, Cylinders, Shells & Cones Page – Tom Irvine

Cepstrum Analysis

The cepstrum function was originally developed for characterizing the seismic echoes resulting from earthquake and bomb explosions. It has also been used to determine the fundamental frequency of human speech, to analyze radar signal returns, and to evaluate machinery vibration. A cepstrum of time history… Read more

Autocorrelation & Cross-correlation

Cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. Autocorrelation is the cross-correlation of a signal with itself. It is a time domain analysis useful for determining the periodicity or repeating patterns of a… Read more